Question

Решите задачу. На оклейку двух комнат пошло 108 м обоев. На одну комнату пошло 4 рулона обоев одинаковой длины, на другую - 5 таких же рулонов. Сколько метров обоев пошло на каждую комнату?

Answer 1

4+5=9 (рул.) столько рулонов пошло на две комнаты.                                          108:9=12(м) столько метров в одном рулоне.                                                   4х12=48(м)столько метров на первую комнату.                                                  5х12=60(м)столько на вторую метров.

Answer 2

Problem Analysis

We are given that 108 meters of wallpaper were used to cover two rooms. One room required 4 rolls of wallpaper of the same length, while the other room required 5 rolls of the same length. We need to determine how many meters of wallpaper were used for each room.

Solution

Let's assume the length of each roll of wallpaper is x meters.

For the first room, 4 rolls of wallpaper were used, so the total length of wallpaper used for the first room is 4 times the length of each roll, which is 4x.

For the second room, 5 rolls of wallpaper were used, so the total length of wallpaper used for the second room is 5 times the length of each roll, which is 5x.

We are given that the total length of wallpaper used for both rooms is 108 meters. Therefore, we can write the equation:

4x + 5x = 108

Simplifying the equation:

9x = 108

Dividing both sides of the equation by 9:

x = 108 / 9

x = 12

Therefore, each roll of wallpaper is 12 meters long.

To find the length of wallpaper used for each room, we can substitute the value of x back into the equations:

For the first room: 4 rolls * 12 meters per roll = 48 meters of wallpaper.

For the second room: 5 rolls * 12 meters per roll = 60 meters of wallpaper.

Answer

The first room required 48 meters of wallpaper, and the second room required 60 meters of wallpaper.